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This article is cited in 5 scientific papers (total in 5 papers)
Integrable seven-point discrete equations and second-order evolution chains
V. E. Adler Landau Institute for Theoretical Physics, RAS,
Chernogolovka, Moscow Oblast, Russia
Abstract:
We consider differential–difference equations defining continuous symmetries for discrete equations on a triangular lattice. We show that a certain combination of continuous flows can be represented as a second-order scalar evolution chain. We illustrate the general construction with a set of examples including an analogue of the elliptic Yamilov chain.
Keywords:
integrability, discrete equation, differential–difference equation, lattice, symmetry.
Received: 01.06.2017 Revised: 13.07.2017
Citation:
V. E. Adler, “Integrable seven-point discrete equations and second-order evolution chains”, TMF, 195:1 (2018), 27–43; Theoret. and Math. Phys., 195:1 (2018), 513–528
Linking options:
https://www.mathnet.ru/eng/tmf9409https://doi.org/10.4213/tmf9409 https://www.mathnet.ru/eng/tmf/v195/i1/p27
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Abstract page: | 380 | Full-text PDF : | 95 | References: | 42 | First page: | 13 |
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